Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Guide To Evaluating Limits Of Functions Using Exponents At Infinity For Positive Integers A And B

lim x->∞ pow top > pow bottom ∞, -∞ To evaluate this limit, we need to consider the behavior of the top and bottom functions as x...

John Rhodes
June 21, 2023
Calculus

Mastering Continuity In Calculus: The Importance And Definition

Continuity lim x->C = lim x->C+ = lim x->C- = f(c) In calculus, continuity refers to the property of a function having no holes, gaps or jumps...

John Rhodes
June 21, 2023
Calculus

Discontinuity In Mathematics: Types And Significance.

Discontinuity jump, hole/removable, ∞, oscillating Discontinuity in mathematics refers to a point where a function does not exist or exhibits a peculiar behavior at a certain value...

John Rhodes
June 21, 2023
Calculus

Unlocking The Power Of Calculus: The Intermediate Value Theorem For Root-Finding And Beyond

Intermediate Value Theorem (IVT) If f(x) is continuous on the closed interval [a,b], then f(x) will take on every value between f(a) and f(b) The Intermediate Value...

John Rhodes
June 21, 2023
Calculus

The Power Of Constant Functions: Definition, Graphs, And Practical Applications

Constant function f(x) = b A constant function is a type of mathematical function that always produces the same output for every input. In other words, it...

John Rhodes
June 21, 2023
Calculus

The Essentials Of The Identity Function: Properties, Graph And Applications

Identity Function f(x) = x The identity function is a mathematical function that returns a value equal to its input value. Specifically, given any value ‘x’, the...

John Rhodes
June 21, 2023
Calculus

Exploring The Versatile Square Function And Its Properties In Mathematics

Square Function f(x) = x^2 The square function is a mathematical function that returns the square of a given number. In other words, if we have a...

John Rhodes
June 21, 2023
Calculus

Cube Function Explained: Definition, Graph, And Applications In Science And Engineering

Cube Function f(x) = x^3 The cube function is a mathematical function that takes a number and raises it to the power of 3. It is represented...